This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/**
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*/
#include <cstring>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <vector>
#include <list>
#include <map>
#include <set>
#include <deque>
#include <stack>
#include <bitset>
#include <algorithm>
#include <functional>
#include <numeric>
#include <utility>
#include <sstream>
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <queue>
#include <cmath>
#include <cstdlib>
#include <ctime>
#include <cassert>
#define F first
#define S second
#define endl '\n'
#define deb(x) cout<<#x<<' '<<x<<endl;
#define pb push_back
using namespace __gnu_pbds;
using namespace std;
typedef tree<
int,
null_type,
less<int>,
rb_tree_tag,
tree_order_statistics_node_update>
ordered_set;
/*
#ifdef IZI_KATKA
#define int __int64_t
#else
#define int __int64
#endif
*/
const long long MOD = 1e9 + 7;
const long long MAXN = 1e6 + 1;
typedef long long ll;
#define pii pair<int,int>
long long readInt() {
bool minus1 = false;
long long result = 0;
char ch;
ch = getchar();
while (true) {
if (ch == '-') break;
if (ch >= '0' && ch <= '9') break;
ch = getchar();
}
if (ch == '-') minus1 = true; else result = ch-'0';
while (true) {
ch = getchar();
if (ch < '0' || ch > '9') break;
result = result*10 + (ch - '0');
}
if (minus1)
return -result;
else
return result;
}
int A[MAXN];
int D[MAXN];
int n, q;
int val(int T, int pos) {
int per = T / A[pos];
return per * A[pos] - pos;
}
int solve(int T, int x) {
/// A[i - 1] > A[i]
/// find max i that a[i] <= x
int l = 1, r = n;
int ans = n + 1;
while(l <= r) {
int mid = (l + r) / 2;
if (val(T, mid) <= x) {
ans = mid;
r = mid - 1;
} else {
l = mid + 1;
}
}
return n - ans + 1;
}
int main() {
#ifdef IZI_KATKA
assert(freopen("input", "r", stdin));
assert(freopen("output", "w", stdout));
#endif
n = readInt(), q = readInt();
for (int i = 1; i <= n; i++) {
D[i] = readInt();
}
A[1] = D[1];
for (int i = 2; i <= n; i++) {
A[i] = A[i - 1] * ((D[i] + A[i - 1] - 1) / A[i - 1]);
}
while(q--) {
int T = readInt(), L = readInt(), R = readInt();
cout << solve(T, R) - solve(T, L - 1) + (L <= T && T <= R) << endl;
}
return 0;
}
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